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Finding the Fourth Proportional to 201,710.90, 302,566.35 and 138,725.30

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Solution

The fourth proportional to 201,710.90, 302,566.35 and 138,725.30 is: 208,087.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,710.90 : 302,566.35 = 138,725.30 : x
  2. Step 2: Convert to fraction form
    201,710.90/302,566.35 = 138,725.30/x
  3. Step 3: Cross multiply
    201,710.90x = 302,566.35 × 138,725.30
  4. Step 4: Simplify right side
    201,710.90x = 41,973,607,673.66
  5. Step 5: Solve for x
    x = 41,973,607,673.66/201,710.90
  6. Step 6: Final answer
    x = 208,087.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.